100385985 has 16 divisors (see below), whose sum is σ = 183563136. Its totient is φ = 45890688.

The previous prime is 100385981. The next prime is 100386001. The reversal of 100385985 is 589583001.

It is not a de Polignac number, because 100385985 - 2² = 100385981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100385981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477924 + ... + 478133.

It is an arithmetic number, because the mean of its divisors is an integer number (11472696).

Almost surely, 2^100385985 is an apocalyptic number.

100385985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100385985 is a deficient number, since it is larger than the sum of its proper divisors (83177151).

100385985 is an equidigital number, since it uses as much as digits as its factorization.

100385985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956072.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 100385985 is about 10019.2806628021. The cubic root of 100385985 is about 464.7553111995.

The spelling of 100385985 in words is "one hundred million, three hundred eighty-five thousand, nine hundred eighty-five".